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Finding the Fourth Proportional to 4,887.24, 7,330.84 and 1,189.47

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Solution

The fourth proportional to 4,887.24, 7,330.84 and 1,189.47 is: 1,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.24 : 7,330.84 = 1,189.47 : x
  2. Step 2: Convert to fraction form
    4,887.24/7,330.84 = 1,189.47/x
  3. Step 3: Cross multiply
    4,887.24x = 7,330.84 × 1,189.47
  4. Step 4: Simplify right side
    4,887.24x = 8,719,814.25
  5. Step 5: Solve for x
    x = 8,719,814.25/4,887.24
  6. Step 6: Final answer
    x = 1,784.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.